1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Precalculus

01/15/20

I need help with integral please!

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?Options:
Ap Calculus Math Calculus Precalculus

01/15/20

The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) increasing?

 Question options: 1) Increasing on (-∞, -4) U (2, ∞) 2)  Increasing on (-4, 2) 3)  Increasing on (-1, ∞) 4)  Increasing on (0, ∞ )
Ap Calculus Math Calculus Precalculus

01/15/20

Where is the second derivative of y = 4xex equal to 0?

Question options: 1) -4 2)  -2 3)  -1 4)  0
Ap Calculus Math Calculus Precalculus

01/15/20

Which of the following functions is continuous at x = 5?

Question options: 1) 2)  3)  4)  All are continuous at x = 5
Ap Calculus Math Calculus Precalculus

01/15/20

End Behavior of function

The end behavior of  most closely matches which of the following? Question options: 1) y = 0 2)  y = 2 3)  y = 9 4)  y = -9
Ap Calculus Math Calculus Precalculus

01/15/20

Please help me with integrals!

If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:
Ap Calculus Math Calculus Precalculus

01/14/20

Calculus help please

The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer. 
Ap Calculus Math Calculus Precalculus

01/14/20

Calculus problem: Help needed please

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the rate of 2 cm3/min. At what rate is the depth of the water changing at... more
Ap Calculus Math Calculus Precalculus

01/14/20

Help with calculus problem please

The position function of a particle in rectilinear motion is given by s(t) = 2t3 - 21t2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration... more
Ap Calculus Math Calculus Precalculus

01/14/20

Integration, please help!

Evaluate the integral  .Options: x - 1 + ln|x| + C
Ap Calculus Math Calculus Precalculus

01/14/20

Integration, please help!

Evaluate  Options: -ln|1 - x3| + C sin-1(x3) + C
Ap Calculus Math Calculus Precalculus

01/14/20

Integration, please help!

Which of the following integrals cannot be evaluated using a simple substitution?Options:
Ap Calculus Math Calculus Precalculus

01/14/20

Integration, please help!

Evaluate the integral  . (4 points)Question 2 options: -2csc(5x)cot(5x) + C -10csc(5x)cot(5x) + C
Ap Calculus Math Calculus Precalculus

01/14/20

Integration, please help!

Evaluate the integral  Options:
Ap Calculus Math Calculus Precalculus

01/14/20

Help please - integral evaluation

Please evaluate the integral Options:
Ap Calculus Math Calculus Precalculus

01/14/20

Help please - integral evaluation

If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:
Ap Calculus Math Calculus Precalculus

01/14/20

Help please - integral evaluation

Please evaluate the integral: Options: -sin(x) + C sin(x) + C None of these
Ap Calculus Math Calculus Precalculus

01/14/20

Help please - integral evaluation

Please evaluate  Options: x4 + 2x + C
Ap Calculus Math Calculus Precalculus

01/14/20

Help please - integral evaluation

Please evaluate the integral: Options: x4 + 2x3 - x + C
Ap Calculus Math Calculus Precalculus

01/14/20

Calculus help needed please

Which of the following statements is/are true? I. If f '(x) > 0 on (a, b), then f(x) is increasing on [a, b].II. If f(a) = f(b), then there exists a number c in (a, b) such that f '(c) = 0.III.... more
Ap Calculus Math Calculus Precalculus

01/14/20

Help with Calculus

The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing... more
Ap Calculus Math Calculus Precalculus

01/14/20

Help with Calculus question

Given the relationship x2 + 3y2 =12, with y > 0 and  = 2 units/min., find the value of  at the instant y = 1 unit. Question options: 1)  units/min 2)   units/min 3)  -2 units/min 4)  0... more
Ap Calculus Math Calculus Precalculus

01/14/20

Interval of moving object

Given the position function,  , between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.Question... more
Ap Calculus Math Calculus Precalculus

01/14/20

Finding velocity and acceleration

Given the position function s(t), s(t) = t3 - 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds.Question options: 1) 12... more
Ap Calculus Math Calculus Precalculus

01/13/20

Pair of functions that satisfies the limit

For which pair of functions f(x) and g(x) below will the  ?Question options: 1) f(x) = ex; g(x) = x3 2)  f(x) = x5; g(x) = ex 3)  f(x) = x3; g(x) = ln(x) 4)  f(x) = x-2; g(x) = e-x more

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